SubSplineCoef (FSharp.Stats)

SubSplineCoef Type

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll
Parent Module: Akima
Base Type: obj
All Interfaces: IEquatable<SubSplineCoef> , IStructuralEquatable , IComparable<SubSplineCoef> , IComparable , IStructuralComparable

Subsplines differ from regular splines because they are discontinuous in the second derivative.

Record fields

Record Field	Description
`C0` Full Usage: `C0` Field type: `float[]`	Zero order spline coefficients (N) Field type: `float[]`
`C1` Full Usage: `C1` Field type: `float[]`	First order spline coefficients (N) Field type: `float[]`
`C2` Full Usage: `C2` Field type: `float[]`	Second order spline coefficients (N) Field type: `float[]`
`C3` Full Usage: `C3` Field type: `float[]`	Third order spline coefficients (N) Field type: `float[]`
`XValues` Full Usage: `XValues` Field type: `float[]`	sample points (N+1), sorted ascending Field type: `float[]`

Instance members

Instance member Description

Instance member	Description
`this.Predict` Full Usage: `this.Predict` Returns: `float -> float` Function that takes an x value and returns function value.	Returns function that takes x value and predicts the corresponding interpolating y value. Second derivative (curvature) is NOT continuous at knots to allow higher flexibility to reduce oscillations! For reference see: http://www.dorn.org/uni/sls/kap06/f08_0204.htm. Returns: `float -> float` Function that takes an x value and returns function value. Example `// e.g. days since a certain event let xData = vector [\|0.;1.;5.;4.;3.;\|] // some measured feature let yData = vector [\|1.;5.;4.;13.;17.\|] // get coefficients for piecewise interpolating cubic polynomials let coefficients = Akima.interpolate xData yData // get function value at x=3.4 coefficients.Predict 3.4`


                
                  
                    
                      this.Predict

Full Usage: this.Predict

Returns: float -> float Function that takes an x value and returns function value.

Returns function that takes x value and predicts the corresponding interpolating y value.

Second derivative (curvature) is NOT continuous at knots to allow higher flexibility to reduce oscillations! For reference see: http://www.dorn.org/uni/sls/kap06/f08_0204.htm.

Returns: float -> float: Function that takes an x value and returns function value.

Example

 
 // e.g. days since a certain event
 let xData = vector [|0.;1.;5.;4.;3.;|]
 // some measured feature
 let yData = vector [|1.;5.;4.;13.;17.|]

 // get coefficients for piecewise interpolating cubic polynomials
 let coefficients = 
     Akima.interpolate xData yData

 // get function value at x=3.4
 coefficients.Predict 3.4

Static members

Static member Description

Static member	Description
`SubSplineCoef.Create(xValues) (c0) (c1) (c2) (c3)` Full Usage: `SubSplineCoef.Create(xValues) (c0) (c1) (c2) (c3)` Parameters: xValues : `float[]` c0 : `float[]` c1 : `float[]` c2 : `float[]` c3 : `float[]` Returns: `SubSplineCoef`	xValues : `float[]` c0 : `float[]` c1 : `float[]` c2 : `float[]` c3 : `float[]` Returns: `SubSplineCoef`


                
                  
                    
                      SubSplineCoef.Create(xValues) (c0) (c1) (c2) (c3)

Full Usage: SubSplineCoef.Create(xValues) (c0) (c1) (c2) (c3)

Parameters:

xValues : float[]

c0 : float[]

c1 : float[]

c2 : float[]

c3 : float[]

Returns: SubSplineCoef

xValues : float[]
c0 : float[]
c1 : float[]
c2 : float[]
c3 : float[]

Returns: SubSplineCoef